Atkin-Lehner |
2- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
3422f |
Isogeny class |
Conductor |
3422 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
792 |
Modular degree for the optimal curve |
Δ |
-101619712 = -1 · 211 · 292 · 59 |
Discriminant |
Eigenvalues |
2- 0 0 1 3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-175,-969] |
[a1,a2,a3,a4,a6] |
Generators |
[27:102:1] |
Generators of the group modulo torsion |
j |
-589534466625/101619712 |
j-invariant |
L |
4.9753011545129 |
L(r)(E,1)/r! |
Ω |
0.65048170371456 |
Real period |
R |
0.34766550878592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27376c1 109504e1 30798g1 85550b1 |
Quadratic twists by: -4 8 -3 5 |